1. The measure of three angles of a quadrilateral is 30˚, 70˚ and 100˚. Find out
the measurement of fourth angle.
Answers
Answer:
Given angles:-
=> ∠A = 30⁰
=> ∠B = 70⁰
=>∠C = 100⁰
=> ∠D = x
We know that sum of all sides of quadrilateral is 360⁰
=> ∠A +∠B +∠C + ∠D = 360⁰
=> 30⁰ + 70⁰ + 100⁰ + x = 360⁰
=> 100⁰ + 100⁰ + x = 360⁰
=> 200⁰ + x = 360⁰
=> x = 360⁰ - 200⁰
=> x = 160⁰
So ∠D = 160⁰
More about quadrilateral
A quadrilateral is a plane figure made with four line segments closing in a space.
The easiest, fastest way to learn about quadrilaterals is to build one yourself.
Find four straight objects to use as line segments
(four = quadr; side = lateral).
Anything will do, and they do not have to be the same length: straws, rulers, dowels, pens -- whatever you have handy. If you connect the four linear objects at their eight ends, you have a quadrilateral, a four-sided polygon.
Step-by-step explanation:
Answer:
I hope
Step-by-step explanation:
sum of interior angles of a quadrilateral=360degree
30+70+100+x=360
200+x=360
x=360-200
x=160degree